Max and Min problem, need help (1 Viewer)

[RHINO7]

A silo in the shape of a cylinder is required to hold 8600m^3 of wheat.


i) Find an equation for the surface area of the silo in terms of the base radius-

 

[PC]

First use the data in the question:

V = πr²h
8600 = πr²h
h = 8600/πr²

SO using this value for h, substitute it into the formula for surface area:

S = 2πr² + 2πrh
S = 2πr² + 2πr x 8600/πr²
S = 2πr² + 17200/r
or
S = 2πr² + 17200r^-1

Hope this helps a bit...

 

[RHINO7]

Thanks!